Distribution of the linear flow length in a honeycomb in the small-scatterer limit
Dynamical Systems
2010-06-02 v3 Number Theory
Abstract
We study the statistics of the linear flow in a punctured honeycomb lattice, or equivalently the free motion of a particle on a regular hexagonal billiard table with holes of equal size at the corners and obeying the customary reflection rules. In the small-scatterer limit we prove the existence of the limiting distribution of the free path length with randomly chosen origin of the trajectory and explicitly compute it.
Keywords
Cite
@article{arxiv.0907.2496,
title = {Distribution of the linear flow length in a honeycomb in the small-scatterer limit},
author = {Florin P. Boca},
journal= {arXiv preprint arXiv:0907.2496},
year = {2010}
}
Comments
3rd draft. New title and improved presentation